Question

A 20-gigabyte digital music player sells for $249. A similar 30-gigabyte player sells for $349. Which player offers the better price per gigabyte of storage?

Answer 1

$$\begin{gathered} \mathrm{Cost}\mathrm{of}20\mathrm{GB}\mathrm{digital}\mathrm{music}\mathrm{player}=249\mathrm{dollars} \\ \mathrm{Cost}\mathrm{of}1\mathrm{GB}\mathrm{memory}\mathrm{storage}=\frac{249}{20}=12.45\mathrm{dollars} \\ \mathrm{Cost}\mathrm{of}30\mathrm{GB}\mathrm{digital}\mathrm{music}\mathrm{player}=349\mathrm{dollars} \\ \mathrm{Cost}\mathrm{of}1\mathrm{GB}\mathrm{memory}\mathrm{storage}=\frac{349}{30}=11.63\mathrm{dollars} \\ \mathbf{\therefore }\mathbf{}\mathbf{}\mathbf{}\mathbf{30}\mathbf{GB}\mathbf{}\mathbf{player}\mathbf{}\mathbf{offers}\mathbf{}\mathbf{the}\mathbf{}\mathbf{better}\mathbf{}\mathbf{price}\mathbf{.}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{Ans}\mathbf{} \end{gathered}$$